77849 has 2 divisors, whose sum is σ = 77850. Its totient is φ = 77848.

The previous prime is 77839. The next prime is 77863. The reversal of 77849 is 94877.

77849 is nontrivially palindromic in base 2.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53824 + 24025 = 232^2 + 155^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77849 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 7 + 7⁴ + 8 + 4⁷ + 9⁵ .

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (77839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38924 + 38925.

It is an arithmetic number, because the mean of its divisors is an integer number (38925).

2⁷⁷⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

77849 is a deficient number, since it is larger than the sum of its proper divisors (1).

77849 is an equidigital number, since it uses as much as digits as its factorization.

77849 is an evil number, because the sum of its binary digits is even.

The product of its digits is 14112, while the sum is 35.

The square root of 77849 is about 279.0143365492. The cubic root of 77849 is about 42.6989975760.

The spelling of 77849 in words is "seventy-seven thousand, eight hundred forty-nine".